There is a circular path around a sports field. Sonia takes $18$ minutes to drive one round of the field, while Ravi takes $12$ minutes for the same.

There is a circular path around a sports field. Sonia takes $18$ minutes to drive one round of the field, while Ravi takes $12$ minutes for the same. Suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point?
Posted by: Created at: Last updated:
Class X Class X Maths Class X Maths Real Numbers

Answers 1

Sonia takes 18 minutes for one round, and Ravi takes 12 minutes for one round.

Step 1: Find the prime factorization of 18 and 12:
18=2×32
12=22×3

Step 2: LCM is the product of all prime factors, each raised to the highest power:
LCM(18,12)=22×32=36

Thus, Sonia and Ravi will meet again at the starting point after 36 minutes.
Posted by: Created at: Last updated:

Similar Questions

1 There are three taps A, B and C in a tank. They can fill the tank in 25 hrs, 20 hrs and 10 hrs respectively. At first all of them are opened simultaneously. Then after 1 hrs, tap C is closed and tap A and B are kept running. After the 4th hour, tap B is a 2 Direction: There are nine members in a family. There are three married couple. A who is married to B does not have any son like G. G is the only sibling of I who is son in law of B. F is married to brother of H’s husband. G is father of E and D. A i 3 Directions: In a family of eight members, there are two married couples and a widow. B, an engineer is married to a doctor. D, an architect is the wife of C. F, a student is the only child of D. H is the son of G and his sister E is the niece of the manag 4 Directions: In a family of eight members, there are two married couples and a widow. B, an engineer is married to a doctor. D, an architect is the wife of C. F, a student is the only child of D. H is the son of G and his sister E is the niece of the manag 5 Are all the four friends viz. A, B, C and D who are sitting around a circular table, facing the centre? I) B sits second to right of D. D faces the centre. C sits to immediate right of both B and D. II) A sits to immediate left to B. C is not an immedia